Integrals of Trigonometric Rational Functions

JEE Main Mathematics · Indefinite Integration · 2 questions, latest first

• Let ∫ (2- tan x)/(3+ tan x) d x=1/2(α x+ log_e|β sin x+γ cos x|)+C, where C is the constant of integration. Then α+(γ)/(β) is…20249 April, Shift 1 · Q8
• If ∫ 1/(a^2 sin^2 x+b^2 cos^2 x) d x=1/12 tan^-1(3 tan x)+ constant, then the maximum value of a sin x+b cos x, is:20246 April, Shift 2 · Q12